Lesson Worksheet: Combining Functions Mathematics
In this worksheet, we will practice adding, subtracting, multiplying, or dividing two given functions to create a new function and identifying the domain of the new function.
Q1:
What is the domain of the quotient , in terms of the domains of and ? Assume that both domains are subsets of the set of real numbers.
- Athe difference between the domain of and the domain of
- Bthe intersection of the domain of and the domain of
- Cthe larger of the domain of and the domain of
- Dthe union of the domain of and the domain of
- Ethe intersection of the domain of and the domain of
Q4:
If and , then find and fully simplify an expression for .
- A
- B
- C
- D
Q16:
If where , and where , then find and its domain.
- A,
- B,
- C,
- D,
Q17:
If where , and where , find and fully simplify and determine the domain of .
- A,
- B,
- C,
- D,
- E,
Q18:
If where , and where , find and the domain of .
- A,
- B,
- C,
- D,
- E,
Q19:
If and are two real functions where and , determine the domain of the function .
- A
- B
- C
- D
- E
Q21:
Given that and find and state its domain.
- A,
- B,
- C,
- D,
- E,
Q22:
If and are two real functions where and , find the domain of the function .
- A
- B
- C
- D
- E
Q23:
Given that and are two real functions where and , find the value of if possible.
- A0
- B35
- Cundefined
- D
Q25:
If and are two real functions where and , find the value of if possible.
- A
- Bundefined
- C
- D